Diffraction spectrum of lattice gas models above T_c

Michael Baake, Bernd Sing

Published 2004-05-27Version 1

The diffraction spectra of lattice gas models on Z^d with finite-range ferromagnetic two-body interaction above T_c or with certain rates of decay of the potential are considered. We show that these diffraction spectra almost surely exist, are Z^d-periodic and consist of a pure point part and an absolutely continuous part with continuous density.